Abstract
We present the results of a global analysis of the neutrino oscillation data available as of fall 2018 in the framework of three massive mixed neutrinos with the goal at determining the ranges of allowed values for the six relevant parameters. We describe the complementarity and quantify the tensions among the results of the different data samples contributing to the determination of each parameter. We also show how those vary when combining our global likelihood with the χ2 map provided by Super-Kamiokande for their atmospheric neutrino data analysis in the same framework. The best fit of the analysis is for the normal mass ordering with inverted ordering being disfavoured with a Δχ2 = 4.7 (9.3) without (with) SK-atm. We find a preference for the second octant of θ23, disfavouring the first octant with Δχ2 = 4.4 (6.0) without (with) SK-atm. The best fit for the complex phase is δCP = 215° with CP conservation being allowed at Δχ2 = 1.5 (1.8). As a byproduct we quantify the correlated ranges for the laboratory observables sensitive to the absolute neutrino mass scale in beta decay, {m}_{nu_e} , and neutrino-less double beta decay, mee, and the total mass of the neutrinos, Σ, which is most relevant in Cosmology.
Highlights
Where cij ≡ cos θij and sij ≡ sin θij
We present the results of a global analysis of the neutrino oscillation data available as of fall 2018 in the framework of three massive mixed neutrinos with the goal at determining the ranges of allowed values for the six relevant parameters
In the left panel of figure 3 we show the dependence of ∆χ2 of the global analysis on the Jarlskog invariant which gives a convention-independent measure of leptonic CP violation in neutrino propagation in vacuum [34] — analogous to the factor introduced in ref. [35] for the description of CP violating effects in the quark sector — defined by: JCP ≡ Im UαiUα∗j Uβ∗iUβj ≡ JCmPax sin δCP = cos θ12 sin θ12 cos θ23 sin θ23 cos2 θ13 sin θ13 sin δCP
Summary
The analysis presented below uses data available up to fall 2018. A complete list of the used data including references can be found in appendix A. Concerning reactor neutrino experiments, the fit of data with baselines in the km range (medium baseline, MBL) is completely dominated by modern experiments, most importantly by Daya Bay [21], with subleading contributions from RENO [22] and Double Chooz [23]. Those experiments are entirely based on relative spectra from detectors at different baselines, and are largely independent of reactor neutrino flux predictions.
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